Mathematical Process

1. Accuracy - Understand the relationship between use of answers and the accuracy of the number.
2. Appropriate Estimate - Identify the range of appropriate estimates, including over-estimate and under-estimate.
3. Money - Connect operations with decimals to money and make estimates.
4. Properties - Use commutative, associative, and distributive properties of numbers including oral descriptions of mathematical reasoning.
5. Measure - Measure using ruler, meter stick, clock, thermometer, or other scaled instruments.
6. Attributes - Identify geometric or physical attributes that are appropriate to measure in a given situation.
7. Translate Problems - Translate the details of a contextual problem into diagrams and/or numerical expressions, and express answers using appropriate units.
8. Match - Match the spoken, written, concrete (including base ten blocks), and pictorial representations of decimals.
9. Story Problem - Develop a story problem that illustrates a given multiplication or division number sentence.
10. Books - Use age-appropriate books, stories, and videos to convey ideas of mathematics.

Numbers and Operations

1. Compose and Decompose - Compose and decompose quantities according to place value.
2. Decimal Notation - Understand decimal notation as an extension of the base-ten number system
3. Multiply - Multiply two- and three-digit whole numbers.
4. Reliable Algorithm - Understand and use a reliable algorithm for multiplying multi-digit numbers and dividing numbers by a single-digit divisor accurately and efficiently.
5. Zero - Understand that division by zero is undefined.
6. Divide - Divide three-digit whole numbers by one-digit divisors fluently with pencil and paper.
7. Factors - Identify factors of whole numbers and model factors and products beyond basic multiplication facts using arrays and area models.
8. Equivalent Forms - Generate equivalent forms of whole numbers, decimals, and common fractions (e.g., 1/10, 1/4, 1/2, 3/4).
9. Compare - Compare equivalent forms whole numbers, fractions, and decimals to each other and to benchmark numbers
10. Use Models - Use models to understand division as the inverse of multiplication, partitioning, and repeated subtraction.
11. Compare Fractions - Use models, benchmarks, and equivalent forms to compare fractions/decimals and locate them on the number line.
12. Use Decimals - Understand and use decimal numbers up to hundredths and write them as fractions.
13. Solve Problems - Solve multi-step problems of various types using whole numbers, fractions, and decimals
14. Remainder - Understand the role of the remainder in division.

Algebra

1. Find Unknown - Find an unknown quantity in simple equations using whole numbers, fractions, decimals, and mixed numbers.
2. Symbols to Words - Translate between symbols and words to represent quantities in expressions or equations.
3. Pattern Rule - Create, explain and use a rule to generate terms of a pattern or sequence.
4. Translate - Translate between symbolic, numerical, verbal, or pictorial representations of a whole number pattern or relationship.

Geometry and Measurement

1. Circles - Identify the basic parts of circles.
2. Degrees in Circle - Understand the definition of degree as it relates to the circle.
3. Classify Angles - Classify angles and triangles as obtuse, acute, or right.
4. Measure Angles - Measure and draw angles.
5. Polygon - Determine if a figure is a polygon.
6. Metric Measures - Recognize the use of decimals in metric measures.
7. Measure Liquids - Measure liquids using both standard units and metric units.
8. Area - Recognize that a measure of area represents the total number of same-sized units /that cover the shape without gaps or overlaps.
9. Rearrange Figure - Recognize that area does not change when 2-dimensional figures are cut apart and rearranged.
10. Rectangular Area Model - Connect area measure to multiplication using a rectangular area model.
11. Estimate Area - Estimate areas of rectangles in square inches and square centimeters.
12. Estimate Size - Estimate the size of an object with respect to a given measurement attribute (length, perimeter, area, or capacity).
13. Compare Objects - Compare objects with respect to a given attribute such as length, area, and capacity.
14. Coordinate System - Explain how the components of a coordinate system are used to determine location.
15. Path Between Points - Explore properties of paths between points.
16. Transformations - Examine transformations in the coordinate plane.
17. Predict Results - Predict the results of a transformation of a geometric shape.
18. Symmetry - Determine whether a geometric shape has line and/or rotational symmetry.
19. Tilings and Tessellations - Design and analyze simple tilings and tessellations.
20. Lines of Symmetry - Draw lines of symmetry in 2-dimensional figures.
21. Faces of Shapes - Recognize two-dimensional faces of three-dimensional shapes.

Data Analysis, Probability and Statistics

1. Appropriate Scales - Create and label appropriate scales for graphs.
2. Represent Data - Evaluate how well various representations show the collected data.
3. Pie Charts - Interpret and prepare pie charts using appropriate measurements of angles
4. Stem-and-Leaf - Develop and use stem-and-leaf plots.
5. Central Tendency - Use measures of central tendency to compare two sets of related data.
6. Probability - Determine a simple probability.
7. Express Probability - Express a probability pictorially.